Pandas Profiling Report

Dataset statistics

Number of variables	16
Number of observations	274
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	34.4 KiB
Average record size in memory	128.5 B

Variable types

NUM	16

Warnings

`W_FEMALE` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`AA_FEMALE` is highly correlated with `W_FEMALE` and 4 other fields	High correlation
`MALE` is highly correlated with `FEMALE`	High correlation
`FEMALE` is highly correlated with `MALE`	High correlation
`AA_MALE` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`W_MALE` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`H_MALE` is highly correlated with `H_Female` and 1 other fields	High correlation
`H_Female` is highly correlated with `H_MALE` and 1 other fields	High correlation
`AA` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`H` is highly correlated with `H_Female` and 1 other fields	High correlation
`W` is highly correlated with `AA_FEMALE` and 4 other fields	High correlation
`df_index` has unique values	Unique
`ECONOMICALLY_DISADVANTAGED` has unique values	Unique
`AA` has unique values	Unique
`H_Female` has 3 (1.1%) zeros	Zeros
`AA_FEMALE` has 7 (2.6%) zeros	Zeros
`W_FEMALE` has 4 (1.5%) zeros	Zeros
`AA_MALE` has 6 (2.2%) zeros	Zeros
`W_MALE` has 4 (1.5%) zeros	Zeros

Reproduction

Analysis started	2020-11-09 15:22:22.927035
Analysis finished	2020-11-09 15:23:04.573594
Duration	41.65 seconds
Software version	pandas-profiling v2.9.0
Download configuration	config.yaml

df_index
Real number (ℝ_≥0)

UNIQUE

Distinct	274
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	160.7664234
Minimum	0
Maximum	326
Zeros	1
Zeros (%)	0.4%
Memory size	2.1 KiB

Quantile statistics

Minimum	0
5-th percentile	15.65
Q1	84.5
median	158.5
Q3	233.75
95-th percentile	308.35
Maximum	326
Range	326
Interquartile range (IQR)	149.25

Descriptive statistics

Standard deviation	93.42704057
Coefficient of variation (CV)	0.5811352807
Kurtosis	-1.110136404
Mean	160.7664234
Median Absolute Deviation (MAD)	75
Skewness	0.04738561112
Sum	44050
Variance	8728.611909
Monotocity	Strictly increasing

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
326	1	0.4%
114	1	0.4%
106	1	0.4%
107	1	0.4%
110	1	0.4%
111	1	0.4%
112	1	0.4%
113	1	0.4%
115	1	0.4%
84	1	0.4%
Other values (264)	264	96.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	0.4%
1	1	0.4%
2	1	0.4%
3	1	0.4%
5	1	0.4%

Value	Count	Frequency (%)
326	1	0.4%
324	1	0.4%
320	1	0.4%
319	1	0.4%
318	1	0.4%

grad_rate
Real number (ℝ_≥0)

Distinct	31
Distinct (%)	11.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.9193430657
Minimum	0.6
Maximum	0.99
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.6
5-th percentile	0.793
Q1	0.91
median	0.94
Q3	0.96
95-th percentile	0.98
Maximum	0.99
Range	0.39
Interquartile range (IQR)	0.05

Descriptive statistics

Standard deviation	0.06428763637
Coefficient of variation (CV)	0.06992779819
Kurtosis	6.034400229
Mean	0.9193430657
Median Absolute Deviation (MAD)	0.03
Skewness	-2.207208413
Sum	251.9
Variance	0.00413290019
Monotocity	Not monotonic

Histogram with fixed size bins (bins=31)

Value	Count	Frequency (%)
0.96	34	12.4%
0.94	33	12.0%
0.92	28	10.2%
0.97	27	9.9%
0.93	21	7.7%
0.98	19	6.9%
0.95	19	6.9%
0.91	17	6.2%
0.9	14	5.1%
0.88	10	3.6%
Other values (21)	52	19.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.6	1	0.4%
0.64	1	0.4%
0.65	1	0.4%
0.66	1	0.4%
0.69	2	0.7%

Value	Count	Frequency (%)
0.99	8	2.9%
0.98	19	6.9%
0.97	27	9.9%
0.96	34	12.4%
0.95	19	6.9%

TOTAL
Real number (ℝ_≥0)

Distinct	258
Distinct (%)	94.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	899.0510949
Minimum	51
Maximum	2295
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	51
5-th percentile	292.5
Q1	495.5
median	781
Q3	1209.5
95-th percentile	1975.35
Maximum	2295
Range	2244
Interquartile range (IQR)	714

Descriptive statistics

Standard deviation	529.0765169
Coefficient of variation (CV)	0.5884832574
Kurtosis	-0.003577587333
Mean	899.0510949
Median Absolute Deviation (MAD)	336.5
Skewness	0.8382575572
Sum	246340
Variance	279921.9607
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1667	2	0.7%
707	2	0.7%
914	2	0.7%
1313	2	0.7%
1566	2	0.7%
407	2	0.7%
818	2	0.7%
488	2	0.7%
533	2	0.7%
847	2	0.7%
Other values (248)	254	92.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
51	1	0.4%
67	1	0.4%
70	1	0.4%
88	1	0.4%
109	1	0.4%

Value	Count	Frequency (%)
2295	1	0.4%
2288	1	0.4%
2287	1	0.4%
2280	1	0.4%
2270	1	0.4%

ECONOMICALLY_DISADVANTAGED
Real number (ℝ_≥0)

UNIQUE

Distinct	274
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.300536294
Minimum	0.007798440312
Maximum	0.7301854975
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.007798440312
5-th percentile	0.07012489762
Q1	0.2160937819
median	0.2848396719
Q3	0.3726889426
95-th percentile	0.6004016121
Maximum	0.7301854975
Range	0.7223870572
Interquartile range (IQR)	0.1565951607

Descriptive statistics

Standard deviation	0.1439897892
Coefficient of variation (CV)	0.4791094854
Kurtosis	0.8521391807
Mean	0.300536294
Median Absolute Deviation (MAD)	0.08037259227
Skewness	0.6724567369
Sum	82.34694454
Variance	0.02073305938
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.3333333333	1	0.4%
0.2578947368	1	0.4%
0.3344671202	1	0.4%
0.451951952	1	0.4%
0.3866995074	1	0.4%
0.2585278276	1	0.4%
0.6640159046	1	0.4%
0.2873563218	1	0.4%
0.06024096386	1	0.4%
0.3781512605	1	0.4%
Other values (264)	264	96.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.007798440312	1	0.4%
0.01066816395	1	0.4%
0.01557093426	1	0.4%
0.02506963788	1	0.4%
0.02869518138	1	0.4%

Value	Count	Frequency (%)
0.7301854975	1	0.4%
0.7094155844	1	0.4%
0.7093275488	1	0.4%
0.7069672131	1	0.4%
0.7020648968	1	0.4%

FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	270
Distinct (%)	98.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.4866550785
Minimum	0.3769230769
Maximum	0.6342592593
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.3769230769
5-th percentile	0.4494149496
Q1	0.470782921
median	0.4848192924
Q3	0.4995584072
95-th percentile	0.5255219019
Maximum	0.6342592593
Range	0.2573361823
Interquartile range (IQR)	0.02877548616

Descriptive statistics

Standard deviation	0.02781375505
Coefficient of variation (CV)	0.05715291236
Kurtosis	5.813975732
Mean	0.4866550785
Median Absolute Deviation (MAD)	0.01430102395
Skewness	0.8353810051
Sum	133.3434915
Variance	0.0007736049702
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.4821428571	3	1.1%
0.5	2	0.7%
0.5217391304	2	0.7%
0.5223880597	1	0.4%
0.4784580499	1	0.4%
0.4756446991	1	0.4%
0.4988207547	1	0.4%
0.4942307692	1	0.4%
0.4916958042	1	0.4%
0.4935530086	1	0.4%
Other values (260)	260	94.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.3769230769	1	0.4%
0.3926701571	1	0.4%
0.3954983923	1	0.4%
0.4323607427	1	0.4%
0.4414587332	1	0.4%

Value	Count	Frequency (%)
0.6342592593	1	0.4%
0.6078431373	1	0.4%
0.5968992248	1	0.4%
0.5909090909	1	0.4%
0.5507745267	1	0.4%

H_Female
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	267
Distinct (%)	97.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.0317168896
Minimum	0
Maximum	0.1456456456
Zeros	3
Zeros (%)	1.1%
Memory size	2.1 KiB

Quantile statistics

Minimum	0
5-th percentile	0.004916775423
Q1	0.01225668271
median	0.02237745799
Q3	0.04139505921
95-th percentile	0.09101435569
Maximum	0.1456456456
Range	0.1456456456
Interquartile range (IQR)	0.0291383765

Descriptive statistics

Standard deviation	0.02855525981
Coefficient of variation (CV)	0.9003171552
Kurtosis	2.85184275
Mean	0.0317168896
Median Absolute Deviation (MAD)	0.01261517554
Skewness	1.68160521
Sum	8.690427749
Variance	0.000815402863
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	3	1.1%
0.009900990099	3	1.1%
0.005025125628	2	0.7%
0.01061007958	2	0.7%
0.003752345216	2	0.7%
0.02611940299	1	0.4%
0.0203962704	1	0.4%
0.1286727457	1	0.4%
0.01768707483	1	0.4%
0.006756756757	1	0.4%
Other values (257)	257	93.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	3	1.1%
0.002118644068	1	0.4%
0.002277904328	1	0.4%
0.002364066194	1	0.4%
0.003174603175	1	0.4%

Value	Count	Frequency (%)
0.1456456456	1	0.4%
0.142118863	1	0.4%
0.1379928315	1	0.4%
0.1364485981	1	0.4%
0.1286727457	1	0.4%

AA_FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	265
Distinct (%)	96.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.09746139994
Minimum	0
Maximum	0.5059101655
Zeros	7
Zeros (%)	2.6%
Memory size	2.1 KiB

Quantile statistics

Minimum	0
5-th percentile	0.003269976174
Q1	0.01092482284
median	0.03167731867
Q3	0.1147580841
95-th percentile	0.4485075408
Maximum	0.5059101655
Range	0.5059101655
Interquartile range (IQR)	0.1038332613

Descriptive statistics

Standard deviation	0.136320012
Coefficient of variation (CV)	1.398707715
Kurtosis	1.818536173
Mean	0.09746139994
Median Absolute Deviation (MAD)	0.02573200705
Skewness	1.740154777
Sum	26.70442358
Variance	0.01858314566
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	7	2.6%
0.01047120419	2	0.7%
0.003496503497	2	0.7%
0.01098901099	2	0.7%
0.02059925094	1	0.4%
0.04022988506	1	0.4%
0.06287227002	1	0.4%
0.1846153846	1	0.4%
0.008278145695	1	0.4%
0.03049907579	1	0.4%
Other values (255)	255	93.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	7	2.6%
0.000761614623	1	0.4%
0.001422475107	1	0.4%
0.001964636542	1	0.4%
0.002415458937	1	0.4%

Value	Count	Frequency (%)
0.5059101655	1	0.4%
0.4991735537	1	0.4%
0.487091222	1	0.4%
0.4837310195	1	0.4%
0.4826923077	1	0.4%

W_FEMALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	270
Distinct (%)	98.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.347509595
Minimum	0
Maximum	0.568627451
Zeros	4
Zeros (%)	1.5%
Memory size	2.1 KiB

Quantile statistics

Minimum	0
5-th percentile	0.01057688583
Q1	0.3077527687
median	0.400431284
Q3	0.4444444444
95-th percentile	0.4756571742
Maximum	0.568627451
Range	0.568627451
Interquartile range (IQR)	0.1366916758

Descriptive statistics

Standard deviation	0.1425755446
Coefficient of variation (CV)	0.4102780087
Kurtosis	0.5858519064
Mean	0.347509595
Median Absolute Deviation (MAD)	0.05457110692
Skewness	-1.312720513
Sum	95.21762902
Variance	0.02032778592
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	4	1.5%
0.4444444444	2	0.7%
0.4583333333	1	0.4%
0.4211123723	1	0.4%
0.2664092664	1	0.4%
0.3516483516	1	0.4%
0.03660130719	1	0.4%
0.02786994028	1	0.4%
0.4418604651	1	0.4%
0.4223140496	1	0.4%
Other values (260)	260	94.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	4	1.5%
0.001488095238	1	0.4%
0.001721170396	1	0.4%
0.003305785124	1	0.4%
0.003350083752	1	0.4%

Value	Count	Frequency (%)
0.568627451	1	0.4%
0.537037037	1	0.4%
0.5194805195	1	0.4%
0.5113636364	1	0.4%
0.4945652174	1	0.4%

MALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	270
Distinct (%)	98.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.5133449215
Minimum	0.3657407407
Maximum	0.6230769231
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.3657407407
5-th percentile	0.4744780981
Q1	0.5004415928
median	0.5151807076
Q3	0.529217079
95-th percentile	0.5505850504
Maximum	0.6230769231
Range	0.2573361823
Interquartile range (IQR)	0.02877548616

Descriptive statistics

Standard deviation	0.02781375505
Coefficient of variation (CV)	0.05418141661
Kurtosis	5.813975732
Mean	0.5133449215
Median Absolute Deviation (MAD)	0.01430102395
Skewness	-0.8353810051
Sum	140.6565085
Variance	0.0007736049702
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.5178571429	3	1.1%
0.5	2	0.7%
0.4782608696	2	0.7%
0.4776119403	1	0.4%
0.4949324324	1	0.4%
0.515960534	1	0.4%
0.5348837209	1	0.4%
0.5515151515	1	0.4%
0.503045067	1	0.4%
0.5085348506	1	0.4%
Other values (260)	260	94.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.3657407407	1	0.4%
0.3921568627	1	0.4%
0.4031007752	1	0.4%
0.4090909091	1	0.4%
0.4492254733	1	0.4%

Value	Count	Frequency (%)
0.6230769231	1	0.4%
0.6073298429	1	0.4%
0.6045016077	1	0.4%
0.5676392573	1	0.4%
0.5585412668	1	0.4%

AA_MALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	269
Distinct (%)	98.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.09633370213
Minimum	0
Maximum	0.4923076923
Zeros	6
Zeros (%)	2.2%
Memory size	2.1 KiB

Quantile statistics

Minimum	0
5-th percentile	0.00244639585
Q1	0.01324664532
median	0.0315673677
Q3	0.1185361989
95-th percentile	0.4202412158
Maximum	0.4923076923
Range	0.4923076923
Interquartile range (IQR)	0.1052895536

Descriptive statistics

Standard deviation	0.1300508889
Coefficient of variation (CV)	1.350004059
Kurtosis	1.617592882
Mean	0.09633370213
Median Absolute Deviation (MAD)	0.02605436016
Skewness	1.678505241
Sum	26.39543438
Variance	0.01691323371
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	6	2.2%
0.009328358209	1	0.4%
0.1430317848	1	0.4%
0.03537414966	1	0.4%
0.4323995128	1	0.4%
0.08016443988	1	0.4%
0.02702702703	1	0.4%
0.06032482599	1	0.4%
0.0202020202	1	0.4%
0.05013192612	1	0.4%
Other values (259)	259	94.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	6	2.2%
0.001468428781	1	0.4%
0.001715265866	1	0.4%
0.001869158879	1	0.4%
0.002012072435	1	0.4%

Value	Count	Frequency (%)
0.4923076923	1	0.4%
0.4837310195	1	0.4%
0.4799054374	1	0.4%
0.4707792208	1	0.4%
0.4692622951	1	0.4%

W_MALE
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	271
Distinct (%)	98.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.3723870294
Minimum	0
Maximum	0.5916230366
Zeros	4
Zeros (%)	1.5%
Memory size	2.1 KiB

Quantile statistics

Minimum	0
5-th percentile	0.01409107695
Q1	0.3252798921
median	0.4262484301
Q3	0.4762438546
95-th percentile	0.5128214399
Maximum	0.5916230366
Range	0.5916230366
Interquartile range (IQR)	0.1509639625

Descriptive statistics

Standard deviation	0.1491323037
Coefficient of variation (CV)	0.400476633
Kurtosis	0.6767079372
Mean	0.3723870294
Median Absolute Deviation (MAD)	0.06283740013
Skewness	-1.319189683
Sum	102.0340461
Variance	0.02224044402
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	4	1.5%
0.4722222222	1	0.4%
0.03660130719	1	0.4%
0.4971857411	1	0.4%
0.4667832168	1	0.4%
0.3809753742	1	0.4%
0.008849557522	1	0.4%
0.4174372523	1	0.4%
0.3692307692	1	0.4%
0.4374501992	1	0.4%
Other values (261)	261	95.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	4	1.5%
0.002169197397	1	0.4%
0.004268292683	1	0.4%
0.004872107186	1	0.4%
0.005025125628	1	0.4%

Value	Count	Frequency (%)
0.5916230366	1	0.4%
0.5527831094	1	0.4%
0.5466237942	1	0.4%
0.5409836066	1	0.4%
0.5289855072	1	0.4%

H_MALE
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	269
Distinct (%)	98.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.03471910726
Minimum	0
Maximum	0.1516516517
Zeros	2
Zeros (%)	0.7%
Memory size	2.1 KiB

Quantile statistics

Minimum	0
5-th percentile	0.00573019802
Q1	0.01302910053
median	0.02407224087
Q3	0.04294699012
95-th percentile	0.1038768791
Maximum	0.1516516517
Range	0.1516516517
Interquartile range (IQR)	0.02991788959

Descriptive statistics

Standard deviation	0.03089980028
Coefficient of variation (CV)	0.8899940903
Kurtosis	2.178286383
Mean	0.03471910726
Median Absolute Deviation (MAD)	0.01329585626
Skewness	1.606962231
Sum	9.51303539
Variance	0.0009547976574
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.02272727273	3	1.1%
0	2	0.7%
0.02197802198	2	0.7%
0.02027027027	2	0.7%
0.03639973527	1	0.4%
0.1189427313	1	0.4%
0.01083032491	1	0.4%
0.01271186441	1	0.4%
0.05128205128	1	0.4%
0.03587736464	1	0.4%
Other values (259)	259	94.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	0.7%
0.001860465116	1	0.4%
0.001919385797	1	0.4%
0.002375296912	1	0.4%
0.003154574132	1	0.4%

Value	Count	Frequency (%)
0.1516516517	1	0.4%
0.1457943925	1	0.4%
0.1369509044	1	0.4%
0.1352583587	1	0.4%
0.1291314374	1	0.4%

AA
Real number (ℝ_≥0)

HIGH CORRELATION
UNIQUE

Distinct	274
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.1937951021
Minimum	0
Maximum	0.9858156028
Zeros	1
Zeros (%)	0.4%
Memory size	2.1 KiB

Quantile statistics

Minimum	0
5-th percentile	0.006665047686
Q1	0.02429001063
median	0.06092491054
Q3	0.2266699516
95-th percentile	0.8496860431
Maximum	0.9858156028
Range	0.9858156028
Interquartile range (IQR)	0.202379941

Descriptive statistics

Standard deviation	0.2655563184
Coefficient of variation (CV)	1.370294273
Kurtosis	1.684171124
Mean	0.1937951021
Median Absolute Deviation (MAD)	0.05097637134
Skewness	1.70383473
Sum	53.09985797
Variance	0.07052015825
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.006944444444	1	0.4%
0.04153354633	1	0.4%
0.06658668266	1	0.4%
0.152014652	1	0.4%
0.03588516746	1	0.4%
0.3	1	0.4%
0.1316526611	1	0.4%
0.006756756757	1	0.4%
0.03438789546	1	0.4%
0.05986394558	1	0.4%
Other values (264)	264	96.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	0.4%
0.001468428781	1	0.4%
0.003300330033	1	0.4%
0.003610108303	1	0.4%
0.003838771593	1	0.4%

Value	Count	Frequency (%)
0.9858156028	1	0.4%
0.975	1	0.4%
0.967462039	1	0.4%
0.9454545455	1	0.4%
0.9426229508	1	0.4%

H
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	271
Distinct (%)	98.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.06643599686
Minimum	0.003278688525
Maximum	0.2972972973
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.003278688525
5-th percentile	0.01174597142
Q1	0.0255879455
median	0.04615904401
Q3	0.08572051646
95-th percentile	0.1898096288
Maximum	0.2972972973
Range	0.2940186088
Interquartile range (IQR)	0.06013257095

Descriptive statistics

Standard deviation	0.05859129269
Coefficient of variation (CV)	0.8819208782
Kurtosis	2.554858757
Mean	0.06643599686
Median Absolute Deviation (MAD)	0.02466137016
Skewness	1.663912078
Sum	18.20346314
Variance	0.003432939579
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.03921568627	2	0.7%
0.02040816327	2	0.7%
0.02702702703	2	0.7%
0.05037313433	1	0.4%
0.02364864865	1	0.4%
0.1806136681	1	0.4%
0.05688622754	1	0.4%
0.1296296296	1	0.4%
0.02108433735	1	0.4%
0.06660323501	1	0.4%
Other values (261)	261	95.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.003278688525	1	0.4%
0.003289473684	1	0.4%
0.00575815739	1	0.4%
0.007125890736	1	0.4%
0.007504690432	1	0.4%

Value	Count	Frequency (%)
0.2972972973	1	0.4%
0.2822429907	1	0.4%
0.2790697674	1	0.4%
0.2639311044	1	0.4%
0.2535842294	1	0.4%

W
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct	273
Distinct (%)	99.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.7198966244
Minimum	0.001488095238
Maximum	0.9901315789
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	0.001488095238
5-th percentile	0.02386058938
Q1	0.6283667945
median	0.8340800387
Q3	0.9234737521
95-th percentile	0.9675899899
Maximum	0.9901315789
Range	0.9886434837
Interquartile range (IQR)	0.2951069576

Descriptive statistics

Standard deviation	0.2879347468
Coefficient of variation (CV)	0.3999667967
Kurtosis	0.75010646
Mean	0.7198966244
Median Absolute Deviation (MAD)	0.1066515087
Skewness	-1.398612485
Sum	197.2516751
Variance	0.08290641844
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.9464285714	2	0.7%
0.9123134328	1	0.4%
0.9611111111	1	0.4%
0.6275659824	1	0.4%
0.7228116711	1	0.4%
0.1228878648	1	0.4%
0.911227154	1	0.4%
0.8422273782	1	0.4%
0.8203592814	1	0.4%
0.9573820396	1	0.4%
Other values (263)	263	96.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.001488095238	1	0.4%
0.001721170396	1	0.4%
0.002169197397	1	0.4%
0.004728132388	1	0.4%
0.004872107186	1	0.4%

Value	Count	Frequency (%)
0.9901315789	1	0.4%
0.9884836852	1	0.4%
0.9840348331	1	0.4%
0.9805194805	1	0.4%
0.9803278689	1	0.4%

Expend_per_pupil
Real number (ℝ_≥0)

Distinct	273
Distinct (%)	99.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	9582.177774
Minimum	5304.33
Maximum	18582.45
Zeros	0
Zeros (%)	0.0%
Memory size	2.1 KiB

Quantile statistics

Minimum	5304.33
5-th percentile	7715.3585
Q1	8420.035
median	9222.975
Q3	10528.88
95-th percentile	12620.0375
Maximum	18582.45
Range	13278.12
Interquartile range (IQR)	2108.845

Descriptive statistics

Standard deviation	1727.361673
Coefficient of variation (CV)	0.1802681722
Kurtosis	4.902725219
Mean	9582.177774
Median Absolute Deviation (MAD)	921.435
Skewness	1.427940412
Sum	2625516.71
Variance	2983778.348
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
5449.59	2	0.7%
10789.43	1	0.4%
9016.75	1	0.4%
8266.13	1	0.4%
12407.37	1	0.4%
8364.25	1	0.4%
8652.22	1	0.4%
11513.85	1	0.4%
9136.43	1	0.4%
8923.33	1	0.4%
Other values (263)	263	96.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
5304.33	1	0.4%
5449.59	2	0.7%
5541.14	1	0.4%
6174.93	1	0.4%
6949.99	1	0.4%

Value	Count	Frequency (%)
18582.45	1	0.4%
18237.58	1	0.4%
15288.42	1	0.4%
14988.88	1	0.4%
14322.38	1	0.4%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	df_index	grad_rate	TOTAL	ECONOMICALLY_DISADVANTAGED	FEMALE	H_Female	AA_FEMALE	W_FEMALE	MALE	AA_MALE	W_MALE	H_MALE	AA	H	W	Expend_per_pupil
0	0	0.96	1075	0.247442	0.482791	0.008372	0.002791	0.465116	0.517209	0.007442	0.500465	0.001860	0.010233	0.010233	0.965581	9171.37
1	1	0.95	1120	0.339286	0.451786	0.010714	0.020536	0.409821	0.548214	0.019643	0.505357	0.016071	0.040179	0.026786	0.915179	9523.76
2	2	0.92	1406	0.199858	0.491465	0.044097	0.070413	0.351351	0.508535	0.085349	0.346373	0.046942	0.155761	0.091038	0.697724	12546.31
3	3	0.98	481	0.193347	0.442827	0.037422	0.016632	0.382536	0.557173	0.027027	0.482328	0.037422	0.043659	0.074844	0.864865	9106.97
4	5	0.91	534	0.237828	0.488764	0.056180	0.020599	0.408240	0.511236	0.022472	0.423221	0.059925	0.043071	0.116105	0.831461	8279.85
5	6	0.94	637	0.326531	0.486656	0.006279	0.010989	0.461538	0.513344	0.028257	0.463108	0.012559	0.039246	0.018838	0.924647	9673.19
6	7	0.93	515	0.386408	0.448544	0.021359	0.009709	0.415534	0.551456	0.007767	0.489320	0.038835	0.017476	0.060194	0.904854	10027.42
7	8	0.93	1396	0.207736	0.493553	0.035817	0.009312	0.437679	0.506447	0.014327	0.449140	0.033668	0.023639	0.069484	0.886819	9268.68
8	9	0.93	1667	0.151170	0.499700	0.017397	0.008398	0.469106	0.500300	0.017397	0.457109	0.018596	0.025795	0.035993	0.926215	8945.95
9	10	0.99	682	0.218475	0.469208	0.051320	0.117302	0.281525	0.530792	0.121701	0.346041	0.043988	0.239003	0.095308	0.627566	11480.54

Last rows

	df_index	grad_rate	TOTAL	ECONOMICALLY_DISADVANTAGED	FEMALE	H_Female	AA_FEMALE	W_FEMALE	MALE	AA_MALE	W_MALE	H_MALE	AA	H	W	Expend_per_pupil
264	313	0.98	166	0.060241	0.542169	0.036145	0.012048	0.463855	0.457831	0.024096	0.391566	0.024096	0.036145	0.060241	0.855422	11230.73
265	314	0.97	1082	0.032348	0.479667	0.026802	0.030499	0.388170	0.520333	0.037893	0.406654	0.035120	0.068392	0.061922	0.794824	8390.27
266	315	0.98	1667	0.007798	0.517696	0.020996	0.032394	0.371326	0.482304	0.034193	0.349130	0.025795	0.066587	0.046791	0.720456	7977.52
267	316	0.96	1533	0.045010	0.496412	0.043053	0.029354	0.400522	0.503588	0.025440	0.426614	0.035877	0.054795	0.078930	0.827136	8346.05
268	317	0.94	1895	0.247493	0.486016	0.058575	0.078100	0.335620	0.513984	0.079683	0.362005	0.063852	0.157784	0.122427	0.697625	7842.51
269	318	0.97	2220	0.071171	0.487838	0.018018	0.044595	0.407207	0.512162	0.050450	0.420270	0.024775	0.095045	0.042793	0.827477	7519.21
270	319	0.96	571	0.185639	0.460595	0.005254	0.021016	0.432574	0.539405	0.035026	0.476357	0.021016	0.056042	0.026270	0.908932	10360.40
271	320	0.97	1935	0.109044	0.473902	0.027390	0.050646	0.375711	0.526098	0.047028	0.430491	0.033592	0.097674	0.060982	0.806202	7995.72
272	324	0.80	520	0.682692	0.494231	0.005769	0.482692	0.000000	0.505769	0.492308	0.005769	0.005769	0.975000	0.011538	0.005769	9794.46
273	326	0.60	461	0.709328	0.498915	0.008677	0.483731	0.000000	0.501085	0.483731	0.002169	0.015184	0.967462	0.023861	0.002169	10769.02

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows